{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "literary-affairs",
   "metadata": {},
   "source": [
    "# 导入错误记录\n",
    "dgl只支持高于pytorch->1.8.0, 使用前要保证pytorch有升级  \n",
    "其中pytorch updata 可以通过conda安装 window pip出现虚拟环境不匹配"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "nearby-crawford",
   "metadata": {},
   "outputs": [],
   "source": [
    "import dgl\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx \n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "import torch.optim as optim\n",
    "from dgl.data import MiniGCDataset  #导入图数据\n",
    "from dgl.nn.pytorch import GraphConv \n",
    "from torch.utils.data import DataLoader\n",
    "from sklearn.metrics import accuracy_score"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "finite-straight",
   "metadata": {},
   "source": [
    "# 图数据由dgl.data函数生成\n",
    "dataset = MiniGCDataset(k, m, n) 生成k个独立图，每个图的最小节点数>=m, 最大节点数<=n (m,n为范围)\n",
    "\n",
    " networkx 可以方便的生成可视化图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "front-frank",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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aLE2yy5haO4pIUKWnp/PFF18A0Lp1awoLC7FYauaDWQUlvJqZx5pdRRjU3Phw0sl+usO6xzMhIznkZ7gnKXRFJCgqKioYMGAAubm5jB07loULF/Lcc88xceLEM157pNzJkm0F5BQep8zhIspmJSWhJWP6JoX0RbOz0fKCiARcdnY2aWlpREZGsmfPHhITExk4cCDjx48/6+tbtYjk3vQuAa6ycWimKyIBtWTJEm677Tb69+9PZmYmERERwS4poLR7QUQC5pFHHmHs2LHcd999bNiw4YILXNDygogEgNvtZsSIEaxfv56//e1v/PKXvwx2SUGj0BWRRnXw4EH69evH8ePH2bZtG6mpqcEuKai0vCAijWb9+vV06tSJ5s2bU1BQcMEHLih0RaSRvPTSSwwdOpRRo0aRk5NDVFRUsEsKCQpdEfG7X/ziFzz44INMnz6d999/H5NJUXOS1nRFxG9OveFh5cqVXHXVVcEuKeQodEXEL/77hoekpNDtaRtMmvOLiM+WLFlCamoqPXr0YN++fQrcc1DoiohPdMND/Wh5QUQa5NQbHhYsWMC4ceOCXVJYUOiKSL3phoeG0/KCiNSLbnjwjUJXROrs5A0Po0eP1g0PDaTQFZGz8nq9eDw/nNRw22238eCDDzJjxgzee+893fDQQPqpichZPfvss/Tr14/i4mJ69uzJ+++/z8qVK5k0aVKwSwtramIuImdwOp20adOGEydO4PV6iY2NZdu2bdp/6wfavSByASkud7JkawE5B8soc7iJsllIaRPFzf1OP2vsnXfeweFw4HK5MJlMPPTQQwpcP9FMV+QCsH1fCa9k5rF2dxEAzrOcqpvRPZ4JQ5NJTYomNjaW0tJSAJo1a4bb7ebYsWM0a9YsGOU3KZrpijRxCzflM315Dg53NWebYp081vwfOw+xbncxHUu2UVpaSvv27Rk7dizp6emkpaUpcP1EM12RJqwmcLOpdHnO/+L/MHndPDysE/eP1P7bxqDdCyJN1PZ9JUxfnlOvwAXwGBbmfHmArIKSRqrswqbQFWmiXsnMw+GubtB7He5qXs3M83NFAgpdkSapuNzJ2t1FZ13DrQuvF9bsKuJIudO/hYlCV6QpWrK1wOcxDGDJNt/HkdMpdEWaoJyDZadtC2sIh9tDTuFxP1UkJyl0RZqgMofbT+O4/DKO/EChKxLmzrbrM8rmny34UTarX8aRH+jmCJEw9v7773PLLbfQqlUrkpKSsNvtHDt2jIjU0UR2GebTEoPNYiIloaUfqxXQzREiYW3fvn107twZt/uH5YTo6Gg+XpnJ//mo0KfQjbSY2DBp+Gk9GcR3Wl4QCUOFhYXce++99OnTpzZwzWYz/fv3p7CwkCH9L2Not3gMo2HjGwYM6x6vwG0ECl2RMFFZWcnTTz9Nx44dadu2LUuXLuWXv/wls2fPxmw207NnT1avXo3dbgfg/oxkbBZzgz7LZjEzISPZn+XLf2hNVySEeTweFixYwOzZs8nKyqJ58+Zce+21rFixgu7duwNQWlrKN998w4svvkiLFi1q39u7XQyTR6fUu/eC3Wpi8ugUUpNi/P59RGu6IiFpzZo1TJs2jfXr1wNw5ZVX8vjjjzN8+PB6j3W+LmMnGUbNDHfy6BTGXdGxgZXL+Sh0RULErl27ePLJJ/nkk084ceIEl156KQ888ADjx4/3+TyyrIISXs3MY82uIgx+aOcIP/TTHdY9ngkZyZrhNjKFrkgQHT16lGnTpvHOO+9w6NAhOnTowJ133snEiRMbpX/tkXInS7YVkFN4nDKHiyiblZSElozpm6SLZgHSJEO3rkeSiARDVVUVL7/8MvPmzWPPnj3ExsZy0003MXXqVNq2bRvs8qSRNanQrc+RJL3b6Z9QElhLlizhueeeY+vWrURGRnL11Vfz5JNP0rdv32CXJgHUZEJXFwskFH311Vc89dRTrF69GrfbTf/+/Xn00Ue5/vrrg12aBEmT2Kf7w5Ek5w5cqOkTWumqZvrybBZuyg9IfXJh2bt3L3feeSexsbGkpaXx/fffM3PmTBwOBxs3blTgXuDCfqa7fV8Jt762iUpX/Tvk261mFt9zha7Wis/Ky8v585//zIIFCygoKCAhIYFx48bx+OOPExUVFezyJISE/c0R/jiSZO64y/1clYSCxr6g6vF4mDdvHnPmzCE7O5uoqCiuu+46nnrqKbp06eKHbyBNUViHrj+PJNGuhqbj3BdUD/Liqt0+XVD99NNPmTFjBps2bcJkMpGRkcH8+fMZPHiw376DNF1hHbr+PJLk3vQzZybaehZ+zndB9eRNAf/YeYh1u4vPekF13bp12O12+vfvX/vYt99+y5QpU1ixYgUOh4M+ffqwYMECbrnlFp9vXJALS1iHbmMdSdLYMyVpHD9cUD3/34lTL6gCtcG7Zs0aRo4cSZ8+ffj444+ZOnUq7777LsXFxXTu3JknnniChx56iIiIiMb8KtKEhVzo1md22RhHkvhjpiSBt31fCdOX59SrsQtApcvD9OU5pCbFcGJfNtdddx0ul4vNmzdz8cUXEx8fz6233soTTzzBRRdd1EjVy4UkZEK3IbNLfx9J4o+ZkgSHrxdUH3p9Baufuq326BuTycQDDzzArFmz/FmmSGjs0124KZ9bX9vEyuxDON2eM5YMHP957B87D3Hra5tq99emtInC8Pg227UYXlISWrJ9Xwl/qmcLPPhhppRVUOJTHdJw/rigmlseQfO4i4mKisJsNmMymVi7dq1/CxUhBGa6vswuj2etxOO5GMOHXx1VLhf3j+pH3E9+iz15IEYDLopo61lw+eOCqt1m4/n313NvehfcbjeFhYV+qEzkTEENXV/W4SYv2cbBt2fRKv0XWDte3qCwNPBiHNiBF7B37tegMUBbz4LN3xdULRYL7dq180dpImcI6vKCL+twmK2M/r8v8enzD9IssmHHRNusFj565n5Sr7/nrMdY18fJrWfSeG6//XaSk5OZNm0aubm5tY83xgVVkcYStND1dR3OMJnYWWKQFGvn3oEXYTHqN9Ox4OHhqzrRu10s6T+9FZPVtxnq2baeiX/Z7Xb27NnDU089xSWXXEJkZCS9e/emaP9ev4x/8oKqSGMK2vKCv25seHT+Ut6YeBstLhtF9LA7McwR51wm8Ho8eKurOLT6dX79zKfM6NSJLnfOBGw+16OZku88Hg87d+5k3bp1fP311+Tk5PDvf/+bI0eO4HA4AKiursYwDCwWC9dffz1Rvbuye9MBn5YYbBYTKQkt/fU1RH5U0ELXX+twH6z+Co/HQ9m2T3Ac2EVU2s0069IfvF6MU2avHpcTDIPKPVso2/gu1UXf06VLFx555BG2RSaSm3PE16+kmVIdeTwecnNzWbt2LV9//TXZ2dns3buX4uJiKisrMQyD5s2bc9FFF9GxY0duvPFGBgwYgNfr5Z577sEwDO644w5efPFF7HY7xeVOXtt0wKeavMCYvkn++YIi5xC00PXXOpzJ1pxWrVpRWVlJxcE8ij/4MyZ7FI+/sYwyo2XtkSSL/jKT4s3L8FSWcfHFF/P+unUMGjQIgLlr97Am71jAZ0pN/Tbj/Px8MjMz2bJlCzt27GDv3r0UFRVRUVGB1+ulWbNmxMfH06FDB6699loGDBhARkYGnTp1Out4+/fvp0OHDsyZM4cRI0bUPt66RSRDu8WzMvtQg5arDKPmfLCm8DOX0Be00PXXjQ0exwmOHDl9luqpLMO0azV/njQJm61m2WDR71fhqSwD4MiRI4wfP56HH36Yfv36cXTrJjwe37pCOauqMO3dwuLFX1NSUsJzzz3H448/zp133nnGa5vSbcYHDhxgzZo1bN68mR07dvD9999z+PBhTpw4gdfrxW6307p1a9q3b8+IESO4/PLLSU9Pp3v37vXuWZCYmEhOTs5Zn7s/I5kvcosb1OLTZjEzISO53u8TaYig9dOdu3YPL67a7dPs0ut2cmzd23SszGXXrl1UVVXVPmcYBl6vl4iICOLi4jh8+DAez9k/q1+/fvS8dzbrvi9t2IU9j4cTuRsp/uDPGIaByWSiuroas9lMUVERsbGxtS8NxxMuiouLyczMZNOmTXz77bd89913HDp0iPLycjweDzabjbi4ONq3b09KSgp9+/YlPT2dSy+9NKDNYOqz5/sku9XE5NGXBP1nLBeOoIVucbmTwc+u9il0I8wGN1m/4bGHfscf/vAH3nzzzdrnunbtyldffcXq1avJzMxkzpw5Zx3DbrczfPhw2l82hFXeXlQ1oBy71czL13fihvS+VFRUnPZcYmIie/fuxWw2h3QolJSUsG7dOjZu3EhWVhbfffcdBw8epKysDI/HU/vLKykpie7du9O3b1+GDBlCnz59sFiCfo9NrXD8pSYXlqCeHHHPW183eB0OvFTs2kjZ8lm0adMGp9PJkSNHcLlcREZGUlVVRUlJCVFRUezcuZOePXueMULz5s0ZPXo0ubm5FBQUUNV+ANEZd2GKqPtOhlNDce/evfTs2ZMTJ06c9pq4uDj+sXUX49742q8nXOzYsYPOnTtjt9vrNE55eTlffPFFbbDm5eVRWFhIaWkp1dXVWK1WYmNjSUxMpFu3bvTp04fBgwczYMCAsOqqlVVQwquZeazZVYTBD02K4IcDSod1j2dCRrJODZGAC2ro+nLUjsnjJsPzDW8+P7X2MYvFgtvt5uOPPyY/P5877riDxx57jNdffx23280tt9zCO++8g9lsxuVyMW7cON566y0qKiqYMWMGzz77LL+ZtYhPD9mpcnvPfYea14PZ8HJrtwieuC2jdu24R48eZGdnn/HyhLFTiOwyoMEXekb2uLj2NuOqqioeffRRZs+ezVtvvcXtt99e+1qHw8GGDRvYsGED33zzDbm5uezfv5/S0lLcbjcWi4WYmBjatm1L165dueyyyxg0aBCDBg2q/Q5NxZFyJ0u2FZBTeLz2gmpKQkvG9G0aFyolPAX9jLSFm/L50/JsHPX4J7enykF8wTrWvDaN2267jRUrVlBdXRPcFouF/Px8fvvb37J06VLsdjsPP/wwU6ZMwWKxMHDgQNxuN/n5+SQmJpKWcQ3v/bMAYhKJaB7N2J//lGZmeG3xB0R3GwheD27vD+FrxoPH48FyeBelG/+XY3u243a7iYiIoFWrVrhcLoqLizGbzbRu3ZpPPvmEpC4pXDkzk3re7XyaSIuJDZOGU5ifyw033EBBQQFOp5MePXoQGRnJ/v37OXbsGC6XC7PZTHR0NAkJCSQnJ5OamkpaWhpDhgyhRYsWDS9CRHwW9JnuK5l5fJ59iOo6VOH1eIgwG0TtWcm2/30Zs9nMZZddRk5ODi6Xi+joaIqKanYEREdH43a7MQyDnJwcEhMTAVi0aBHjx4/n3dWbuWf2e9g798Pr9Z52R5rhcVHt8TLskrZ88vc3ueWOu3BUGz86Uzp69CirV69mw4YNvPbaa5SXl59Wd7frJ+DtNZqqBt7xDBBhBkv2CrLf/5/THm/RogVDhw4lNTWVK664gvT0dGJi9E9mkVAVtNCt6wUPoCYU8XJNrwTuz0jGVnGYHj161M5uASIjI3E6ncTFxTFgwABWrFhR8z6TiYEDB7J+/XpMJhMej4e4AdcTf829uL3gxTjHB3vwuKu4Py2BSTcNqtP3MpvNADRr1oybb76ZQYMG8XlFEhsLfUjc/7gs2klSwWq2bt3Ktm3bMAyDDh06sGvXLp/HFpHACErvhR+u4p8/cKFm+5eBlyHJrUlNiiEqKuqM7V8DBw7EMAw+++wzFi1aVLs+6fF42LRpEw8//DAAizb/m9jhd+PyGucOXADDhMlqY/6W4toevnWp1ePxUFVVxd///nf+8pe/UHD4aJ3eez6tEtoxZ84cNm7cyMGDB5k7dy533323X8YWkcAI+F6fhrZz9Bhmnv54B8lxkfzsyt5ndAW75ppr+PLLL+nfvz+rV68mIiKiNvy8Xi+zZ8/GHZ3IKk8vvOb63a5bbZiZvjyHhEg3VQdzyc7OJi8vj3Xr1rF//35atmxJaWkpFRUVtbPvk3uGt23bRvuuORidBtbrM8/m1NuMY2Nj+dWvfuXzmCISWAFfXvBlm5jX48Gdv5XCd5+uXct1WjcAAAglSURBVCo4tfz4+HgOHz58xvtOXji7562v+d7VssGfXZG7kdJlz2O323G5XDidTrxeL2PGjOH48eMcOnSIb7755rSaLBYLP5v0P/yL9lTVZeH6R9gsJh68uttZTy0WkfAR0OUFf7RztLTvzYGjx3G73ezatav2mGy73U5RURGrV6/m0KFDAJSVlbF+/Xpef/11XvzL/+N7h92nz47rOYTXFy7GMAwcDkdt6L/77rts3rwZi8Vy2u4AwzAwm818+soUXC7fOpCpIYtI0xDQ5QV/tHOMiIjgfzfv5dsls/nrX/9aG2aVlZVERkZy1VVXnfZ6s9mM3W4nJm0M5t5en37NVFVV8fvZiygtLcVkMtXeZjx37tzaHgtvvPFG7Tqr1+vF6XRy1+0/xdwrkZU7D9GQzFdDFpGmI6AzXX+0c3R54OmXX+e11147Y/Z4+eWXn3ZMttlspmPHjjz22GMMv/EOsPjWetFrsvCrP0ymqKiIt99+mzFjxmC32yksLOTbb79l9OjR3HvvvRhGzQU6u93OQw89xMiRI/li7uN43VXn+YSzU0MWkaYjoGu6d/1tC6tzzlxzra/KPVs4/O5TZzweGRlZ+0//U9lsNuJueAxrx74+f/ZVKRfx+viaJQ23283MmTOZM2cOBw4coGvXrkyaNIljx44xceJETCYTVqsVp9OJYRjMXraVv2w6GJK9F0QkMAI60/VXO8eWESZ27tzJNddcc9rjLpeLP/7xj1gsltr9snPmzOGmm27CVVHml8+OslnZvn07I0eOxG63M23aNNLT09m7dy+7d+/m7rvv5le/+hWxsbF4PB6cTicmk4lnnnmG34/uw+TRl2C3mjHOt1vNqOm5oMAVaVoCOtP1RztHj8tJiiuPf7z0CF6vl+joaI4frzmbrE2bNnz11Vf8+te/xmQyUVZWxqZNm/B6vTw4/xOW7cWnzzbjwfn1exz4fAHdu3fnj3/8I+PGjTujfWFFRQVpaWlkZWUBNXfHFRYW1jamUUMWkQtXQC+kjemXxIurdvs0hmEYXH/pxbV/Tk9P55NPPsFms7Fy5Urat2/Pyy+/TK9evbBarXg8HsxmM2P6tmPZ3n0+fbbb7WZwWwsvFhTQtm3bs75my5YtXHXVVURGRjJ9+nQmT57ME088cVonsNSkGOaOu1wNWUQuQGG1T/fUZuEn9+me9O677zJmzBgA5s6dy4MPPojD4cAwDOLj4ykrK+NnM5fx1f5KON+daGdh4GVkzza1nb7OZtq0aUydOpWrr76aZcuWYbFYWLx4MT/72c/q3H5RRJq2gN8GfH9GMjaLuUHvtUVacGz9iLi4uNMCt0WLFrWBC/DBBx+cdjHt8OHDmEwmPpz+m5oDKhvy2VbLaTsISkpK+OKLL4CadoppaWk89dRTzJ49m88++6y2sfctt9yiwBWRWkFpeOPLCQol/8pknzWJtz7+HLdhxeM8gason4HxXt74y8skJCRgtVrPuE34pBaXjSLuqrsxrA1rVH7ShAkTmD9/Pq+//jq///3viYiIYN26dVxyySV1HldELjwh32XMALzuKvpHlxPb4ZKzHuZoMby43W4q9mzBtmcdx/Z8w/Tp0/nDH/5w1jFbXDaK1lffg9dkBuPck32bxcTj154euIWFhXTu3Ll2Nj18+HBWrFgRUsfWiEhoClpKjLuiI6lJMXW6in/iYD5rDzbDdLwQznKag9trgNlK826D8HbuB8b/Y8qUKWe8zjAMYmJiOPbNp1QdzCVp5N3QthdeDDxnCX6TAdVeL1/kFXNpYkztybxPPvkkTmfNMoXZbCYyMrJ2i5qIyLkE/eQIOPexKp9+W8ifPsk+LZDPx2rycmTlfI5t+bj2VOCTIiIiuPHGG9m+fTsXDx5DYZu084596iGGHVz7SE9PB2p65rpcLnr16sXGjRuJjNSOAxE5t5AI3R/jyxlqdquJoe5/Mu/Pk097PC4ujqKiIhZ+tZcZy7NxuOv+9W0WEyVr3iD2yLdMmTKFPn360LVrV81yRaTOQnoR8pXMPBzuhp244HB5WFVYE4Zms7m2I9jRo0eZ9dclvJEfVa/AhZrlj+hhd7L43kG6aUFEGiRkZ7rF5U4GP7vapzvILAbc3mInXZIuJiIiApPJxLp169hg7sWx5u38cjKviEh9BOW4nrrwRxtIt8vFy8s2s3v3bvr3788///lPFi5ZSmmzxAb31fV6Yc2uIo6UN2y/r4hc2EI2dP3RBhKLFXNce2bMmEFycjLPPfccRuc0n2szgCXbfP+lICIXnpAN3TKH2y/jmGzNa3cveDwezK3aUe3j13a4PeQUHvdHeSJygQnZC2n+agNpuCvp2rUrNpuNvLw8LPYov4xb5vDt+B0RuTCF7Ew3pU0UkRbfyjPj4ddjr2P37t1kZWWxbNkyouy+nR5x0qkn84qI1FXIhu6Yfr4fwmixWHjwZ1fU/nn48OE8dNctPoe5zWIiJaGlr+WJyAUoZEO3dYtIhnaLP+8JCz/mxw5z9EeY62ReEWmokA1d8LEN5I8c5thYYS4iUhchHbq928UweXQKdmv9yqxpxZjyo3eNNUaYi4jURUiHLtR0I/P3YY6NFeYiIucTsrcB/7fGOMyxzj19T+kyppN5RcQXYRO6J/n7MEedzCsigRR2odtYdDKviASCQldEJIBC/kKaiEhTotAVEQkgha6ISAApdEVEAkihKyISQApdEZEAUuiKiASQQldEJIAUuiIiAaTQFREJIIWuiEgAKXRFRAJIoSsiEkAKXRGRAFLoiogE0P8HEzTRjYY/m1oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+LTg4mCFDhtC1a1dWrVr12mPFcJGgD6Lo6lDvRoXfJFECenuKzRb1aeXKlUydOpUPP/yQOXPmvPI4MVwk6IPYzU+H7G0saVPToeDzdBU5O+KKVU36N2vWLCpUqMDo0aO5f/8+S5cufeEYMVwk6IMoujqSkZHBjh07uPxTEBYeA8nQ5L/qqlVmjPKqrod0wst89NFHODo60qdPH2JjY/nll1+eezxnuCiu0FMAxXCR8E9ieKEQvvzyS7y9vXF2dsbKyor+/ftTqYTEp51qY2Wev7c2ZzK9u5jTaWA9e/bk6NGj7Nmzh7fffvu57X10MVyUrdWK4SLhOeJOtxA2bdrE5cuXcztSOTk5sXnzZhQKBQoFeVs2CmizMqilvc37b5ne9jlFQYsWLbh48SJNmjShVq1aXLx4EbVajaWUSUWzZG5qSpDzO5U/CiD1+mnK23WnQoUKODg4UKpUKd5++21mz56t89chmAZxp1sIw4cPzy241tbWrFq1CoUi5y/ngGaubB3RDJ/a5bFUKVH/a1aDWqXEUqXEp0553O/tZcdXE3B0dCQgIICnT58a/LUUd7Vq1WLbtm38+eef2NjYYGNjg62tLSdWTMfSrGCLI9TmZiwa/n9otVru3r3LuXPnCA0NJTIyUsfpBVMilgEXgFarpU+fPuzYsYMOHTpw+PBh6tSpw4ULF3KL7j89TM1g27kYImJTSE7PwlZtjrtTSXp75rQCvHjxIo0aNSI7OxsrKyvMzMxYt24dPXv2lOHVFV+hoaG0a9cu9x9ShULBqlWrMK/VtlCtOgMCApgwYQIZGTmLJAYMGMDq1avz1IRHKHpE0c2nyMhI2rRpQ0pKCrt376Zdu3bMmDGDzp0789ZbbxXonNnZ2ZQoUSL3L2XZsmUJDQ2lbt26uowuvMGDBw9wd3cnKSkJyCm6YWFhuLq68sHc1VyzqkWGRvv6mSlaLRYqJdO71sltdiNJEi1atODMmTN4e3tz9OhRFAoFixYtYsSIEfp/YYJREcML+fDNN99Qp04dKlasyIMHD2jXrh0AX3zxRYELLoCZmRkeHh6YmZmhVCqpUaOGKLgGtmLFCipWrEjp0qVxdHREpVLRqFEjmjRpQpMmTdi1aCIf19a+cbioVOptbv84jlIJl3IfUygUbN68mQ4dOrBt2zYeP36Mr68vH330EZUrV+a3334z9MsV5GS4jYdNV1pamtS6dWtJqVRKs2bN0ss1li1bJg0cOFA6e/asZGZmJo0bN04v1xGel5KSIr399tuSUqmUJk2aJEmSJJ09e1b65JNPpKysLMnR0VEiZ82K1LFjR0mSJCkxJV1afvSmNG7LeemDNWekcVvOS8uP3pQSU9KljRs3SoCkUqmkoUOHSqmpqa+89oMHD6TWrVtLCoVCatmypRQbG2uQ1yzISxTdNzh9+rRka2srlSlTRrpw4YJBrrllyxZJoVBIGzZsMMj1iqvt27dLarVaKl++vHTp0qUXHv/kk08kpVKZW3RVKpUUFxf33DEJKenSstCb0tgt56Sha85I7y7cLZV++z1JaWUrWVpaSi4uLtL9+/dfm+PUqVOSq6urpFQqpWHDhklZWVk6fZ2CcRFjuq8xZcoU5s+fj4+PD7t37zboFx8TJ05k8eLFnD17Fg8PD4NdtzjIzMykV69ehISEMHjwYFatWoVS+eJIW1RUFGvWrGH79u1cv36d7Oxs2rVrx6FDh167dY+UlYGkUJBxK4y6Zvf55YfFlCpV6o25Vq5cybhx45Akia+++orRo0fr7kULRkMU3ZdISkqiVatWREREsGzZMoYPHy5Ljnbt2nHmzBliYmKwsxOLJnTh2LFjdO3aFYVCwa5du2jdunWenvfw4UNmz57N6tWr+fjbn/n5ZvYb52BLWi1WFio+7Zz3HSS0Wi1jxowhMDAQJycnNm7cmOeMgmkQRfdf9uzZQ58+fXBwcOD48eNUrlxZtixarRZXV1fMzc25cePGS+/GhLzRarV88MEHrFu3js6dO7Njx44CfXJZfugqS47eJl3PW/ckJibSt29fjhw5QrNmzdi2bRsVKlTId17B+Ii/xX/TarUMGTKEbt268d577xEdHS1rwYWcTSnPnTtHbGwsXbp0kTWLKbt06RIVKlTgp59+Yvv27QUeKrp4N4lvjt7JV8EFSMvSMickgvCYpDw/x97enkOHDnHmzBkePHhAxYoVGTJkSO4O0YLpEkUXuHPnDq6urmzZsoWdO3eydu1ao7mrtLe35+jRo+zfv5/p06fLHcfkTJo0CQ8PD6pXr058fHyhFpwsDb1Juia7QM8t6NY9jRs3Jioqih9//JFffvkFOzs7lixZUqAMgnEwjsoio1WrVlGtWjVKlSrF/fv36datm9yRXtCkSRMCAwOZPXs2QUFBcscxCbdv36ZatWosWbKEZcuWceLECWxsbAp8Prm37hk8eDBJSUn4+fnx3//+F2dnZ44cOVKwMIKsim3R1Wg0dOrUiQ8//JAJEyZw6dIlypQpI3esVxo+fDgjRoygd+/eXL9+Xe44Rm3BggVUq1YNKysrYmJidLLqyxi27lEqlSxevDh3h+P27dvTtGlT7t69W+hsguEUy6IbHh5O+fLlOXHiBCdPnmT+/PlyR8qT5cuX4+npSdOmTUVTnJd49OgRDRs25JNPPuGLL77g8uXLlCtXTifnNqate8qUKcP+/fs5d+4cf/31F66urgwYMECM95qIYld0586dS8OGDalTpw7x8fE0b95c7kj5cvz4cSwsLGjSpAli4sn/rF27FicnJx49esT169eZNm2aTs+vq617Hqc9XxgfP35Mampqgc7l4eHB9evXWbduHXv27KFUqVIsXLhQFzEFPSo2RTc1NZW33nqL6dOns3DhQo4dO4ZarZY7Vr5ZWFgQFhZGVFQU/fr1kzuO7J4+fUrbtm0ZOnQofn5+uWO5uqarrXtOhh5k5MiRdOrUCUdHR+zs7Jg0aVKhzunr68ujR4/w9/dnypQpODk5ceDAAZ3kFXSvWBTd0NBQHB0duX37NleuXGH8+PFyRyoUFxcX9u3bx7Zt21iwYIHccWQTEhKCg4MDly5d4uzZs3z77bd6u5YudnpWaDXEXgsjMDCQvXv38uDBA8zNzWnQoEGh8ymVShYsWEBCQgINGzbEx8eHxo0bc/v27UKfW9CtIl90x4wZQ7t27fD29iY2NhY3Nze5I+mEl5cXCxcuZPLkyRw8eFDuOAal0Wjo1asXXbp0oXv37sTHx+Pp6anXa+pi6x4LCwvMbp/Bzc0NCwsLALKyshg5ciRlypShU6dObN269bktg/LLzs6OkJAQwsPDefLkCVWrVqV///6kp6cXOr+gG0W26MbHx1OzZk0CAwPZsGEDv/zyi9HMvdWV8ePH069fPzp37sydO3fkjmMQp0+fply5chw4cIBff/2VTZs2GeT39dlOzy/pUZ8nz3Z6XvzlLG7cuMGUKVMwNzenZs2a3Lt3j48++oiYmBgGDhyIubk51apVY/To0Vy9erVA16tbty7Xrl1j06ZN7Nu3Dzs7O+bNm1ew8IJOFcllwFu3bmXQoEFUrFiREydO4OjoKHckvapXrx5xcXHcu3cv9w6qqNFqtYwaNYoVK1bQsWNHgoKCDD4mf/FuEv1+OE1aVv4XSFiZm7F1RDPqu9hRqVIlatasiZ+fH1qtlr59+z53bGhoKIGBgYSGhhIXF4e1tTUeHh707duXYcOGUaJEiXxdW6vV8umnn7Jw4UJKly7N6tWr6dSpU75fg6AbRaroPvsDvH37dvz8/Fi2bJnckQzi6dOnuLi4UK1aNf744w+54+hcREQE7du35+HDh6xZs0bWLxA3nI4u1NY9AIcOHaJjx45cuXKFWrVqvfa5T58+ZdWqVWzZsoULFy7w9OlTHB0dadOmDSNGjMhtpJ8XycnJ+Pr6EhwcTIMGDdi2bVvul47PZlAUZgGJkDdFpujevHmTVq1akZycTFBQEB06dJA7kkFFRUVRq1YtBg0axMqVK+WOozPTp09nzpw5eHp6cuDAAaPotpZTePOw07MC1CozpnVyf6HZzbMvzy5evJiva1+7do2lS5eyb98+/vzzT5RKJe7u7nTr1o3Ro0fnqSnOtWvX6NOnD1evXqVXr16sW7eOTp068eTJE37//fdXDtckpmawLSyGiLhkktM12KpVuDva0qdRzl5/Qt6YZNGVJInU1FRKliwJwHfffcf48ePx8PAgNDS02P5rvWfPHrp168ayZcvw8/OTO06h3L9/n3bt2hEVFcWiRYsYM2aM3JGeEx6TREDoTY5EJqAgZ+HDM2qVEomcMdxRXtWp7/LiPxTXrl2jTp06HDhwgPbt2xcog1arZfv27axZs4ZTp07x119/UapUKZo2bcqgQYPo27fvaxv77Nixg+HDh5OcnIxCocDc3Jy5c+cyduzY5457Xe/gZ6/Vy82BUW2q06Ci/P8oGjuTLLrz589n8eLFXLx4kb59+3L8+HFmzJghGsKQs1/bzJkzOXHihMkt/Hjm+++/Z/z48VStWpUjR44YdUvDN+30/DodO3YkMjJSZ1+CxsfHs2zZMnbs2MG1a9fIysqicuXKeHt74+/vT7169V54zrPhipSUnJVylpaWXLlyJXfYQRd39cLzjKLo5udjS0pKCs7Ozjx9+hSFQkHJkiU5dOgQDRs2lCm98enatSsHDx7k9u3bOlsGawhJSUl4e3sTFhbG1KlTmTVrltyR9CohIQFHR0dWrlzJ0KFDdX7+EydOEBgYyOHDh4mNjcXS0pIGDRrQp08fPvzwQ2xtbfH392fp0qWo1WqysrLIzs7G2tqa27dvs+9maqHHr4UXyVp0C/KxZcaMGcydOxeNRpPbAOTjjz+WI77R0mq1uLm5kZaWRnR0tEG3GSqorVu3MnjwYMqWLcvBgwff+AVTUTF48GCCgoJ49OiRXqe+paens2bNGjZt2sS5c+d48uQJ5cqVQ6lUEhcXh4WFBb1798bV1ZWdO3eirlCTp839Cj1TQ3iRbEW3IB9bWjpC1apVkSQJlUqFhYUFKpWKpKQkFAWdQFlEJScn4+zsjKenJ0ePHpU7ziulp6fTvXt3Dhw4wIgRIwgICChy86lfJz09nVKlSjF58mRmzpxpsOvevHmT7777ju+++y63h4dCoaB58+aEhIQwcdcNDlx7UKBWlgoF+NQuz/IBjXWcumiQpegWZNqNWqUk/dRGYo//TLdu3fDy8qJu3brUrVuXsmXL6jGt6bp8+TIeHh6MGTOGxYsXyx3nBYcOHaJHjx6Ym5sTHBxssmPQhfXZZ5+xYMECkpKSDDr3+Pz58zRu3BgbGxsyMjLIyspCpVJR2qkStgO+JTO74CvjLFVKfpvcTsxqeAmDF93CTDA3V0psG9mCBhVL6yFZ0bR582Z8fX1Zv349vr6+cscBcoY/BgwYwJYtW+jZsydbt241iSEQfdFqtZQuXZqePXuyZs0ag1337t27BAYG4uHhQaNGjXB1dUWhULD8aBSLD14vVCtLtUrJ+I418Wut++ZDps7gn+MKs+WJRlKw7GiUjhMVbf3792f8+PEMHjyY8PBwueNw7tw5ypcvT1BQELt27WL79u3FuuBCTrOaRYsWsX79ehITEw123YoVKzJ79mx69+5NlSpVcofojKl3cFFk0KIr95YnxdXXX39Nq1ataNGiBUlJed8cUdfGjh1L48aNqVOnDgkJCWKzzX8YNmwYFSpU4P3335c7is56ByenZ+nkPEWNQYuuMWx5Ulw9W83VqFGjQnWxKoioqChcXV1Zvnw5q1evJjQ0FGtra4NmMAWrV6/m4MGDXLt2TdYcuuodbKs218l5ihqDFl3xsUU+KpWK8+fPExsbS9euXQFIS0vLnRSvL/PmzcPNzQ07Ozvu3bvH4MGD9Xo9U9ahQwfq1q1L//79Zc2hi97BapUSd6eSOkpUtBi06IqPLfKyt7fnyJEj7Nu3jzFjxuDu7q635cLx8fHUq1ePzz77jHnz5nHhwgXs7e31cq2iZPPmzYSHhxMaGipbBl30DpaA3p6FP09RZNCiKz62yK9p06aMHTuW77//njt37uhlG++VK1fi4uLC06dPiYqKYuLEiTq/RlFVp+Stt1oAAB7BSURBVE4d2rZtK+sngsL2DgaJNjXsxXSxVzBo0RUfW+QXEhLCN998k/vfjx49Ij4+vsDnS01NxdfXl7/++ovU1FRatmyJn58fY8eOJSoqisqVK+sidrGyefNmYmJiWLt2rWwZRntVR60yK9BzJU0maye/j6OjIz4+PkyePJl9+/bpOKHpMug83cTUDFrMP1yocV0x6bpw7ty5w8SJE9m1axcZGRlIksSWLVtyG2nnt33fp59+yrx583jrrbe4ePEiJUuW5MCBA9SvX9/QL61IGTBgAMHBwTx8+FC2FXoF7R3s38KZjzs1fO4LWy8vL718qjJFBl8cMWL9WbG80AjExcWxaNEiFi5cSMWKFdl14mK++2DExcVRpUqV3P232rRpw+HDh4vVMl59ebY8eOrUqcyYMUO2HAXtMjZ9+nTmz59PZmbOlvOHDx+mbdu2Bkpt3ExqRZpopKF7sbGxeH04HTx6kqmV8vUXy8fHh19//TX38RIlShAdHS2+MNORqVOnsmjRIpKTk2XdhqkgvYNTU1NxcXEhLS0NFxcXoqOjmTlzJtOmTZPnRRgRk+m9IFrG6ceG09HMDrlGej5/L5qrY1k9bRgAjo6OVKtWjXr16jFnzhzKlCmjr7jFyrPlwe+++y4//vij3HHy3Tt43bp1HD16lFWrVvH1118zefJk6taty+HDh4v1nxHj7zIGaLMy8HvLganvtTJYvuKgMJ86lFoNkxqZM7yXd7FfxqtPK1asYNSoUcTHx5t8obp16xZeXl7Ex8ezdu3aFzbkLC5kG3wb0MyVrSOa4VO7PJYqJep/zWpQq5RYqpT41ClPatAspvVtzWeffcaTJ09kSlz0FKYPhmSm4kJmOVFw9WzEiBE4OjoaTbOiwqhatSrR0dEMHTqU/v3707lzZzQa3czdNyVGsXPEmz62jB49moCAAMzMzChZsiRfffUVw4cPFz10C0HMJDEd+/fv55133iEyMpIaNWrIHUcnTpw4QefOnVEqlezbt4+mTZvKHclgjKLovsmqVasYNWoUmZmZKBQKrK2txRc2hSTa95mWunXrYmlpSVhYmNxRdCYzM5Nu3brx66+/4u/vz7fffit3JIMwibk91atXR6VSoVQqMTMz48qVK6LgFpLog2FatmzZwvnz5zl27JjcUXTGwsKCffv2sW7dOgIDA3F1deX27dtyx9I7kyi67u7uKJVK5s6di7m5OZ999pnckUye6INhWurWrUubNm0YNGiQ3FF0bsCAAdy7dw8bGxuqVav23IrJosgkim758uV5/PgxkydPZvPmzWzYsEHWhiBFgeiDYXo2b97M3bt3Wbp0KX5+fvz8889yR9IZe3t7Ll++zKeffsqECRNo1qwZqampcsfSC5MoukDuKqfu3bvTtWtXunfvnrvaRcg/0QfD9NjY2FCrVi38/f1ZuXIlJ0+elDuSzn3++eeEh4cTHR1NuXLl2LNnj9yRdM5kiu4/bd++HYVCQa9eveSOYrJE+z7T4+npSWRkJJCzcELfvZDlUqdOHe7fv0+vXr3o1q0b7733nsEb7+uTSRZdlUrFnj17CAkJ4ZdffpE7jkmyt7GkdQ17CjrpTqHIWfopposZzsqVKylTpgxmZjndv5KTk2VOpD9KpZINGzawd+9eQkJCKF++vFHs8acLJll0AVq2bMngwYPx9fUtsmM/uiZJEvfv3+fAgQOMHTuW3V/6o5QK9oWaWmXGKK/qOk4ovE7r1q25fv167ie833//XeZE+ufj40N8fDy1atWiYcOGTJ06FY1GQ/PmzVm9erXc8QrEJObpvopWq6VChQpUr16dEydOyB3HqG3ZsoVhw4YhSRLZ2dlkZmbi5OTEl9tPMm9vhOiDYWL8/f1Zs2YNiYmJpGoU+WrHaaoCAwPx9/fH1taW1NRUrK2tuXfv3kv328tvi1JDMumiC3D58mUaNGhAYGAgw4cPlzuO0bpz5w61a9fOXUZtbm7OlStXqFGjRp77YICEConPu9cTBdcITPpyKQnlPPntz5wdnvPSjtPU7d69m+7duyNJEhYWFnz66afPTSG9eDcp3y1KDc3kiy7AxIkT+eabb4iJiaFcuXJyxzFKP/30E++//z5arRYzMzP69u3Lhg0bch/PS/u+Ji7W/Pz5cPp5v82KFSuwtCw6d1GmpqB9bk2dm5sbt27dyu3ZoFQquXPnDs7OzibznhSJogs5zTRsbGyKzGC7rmi1Wt577z1++eUX/Pz8ePr0KZs2bSIqKopKlSq9cPyb+mCoVCqys7NxcnJi7dq1dOzYUYZXVbwV59aoZ86c4Y8//iA8PJyTJ09y9epVKlSowNTV+/ju+F2TeE+KTNG9ffs21apVY9asWUyZMkXuOEbh2rVreHl58eTJE4KCgmjfvj1paWlcuHCB5s2bF+iclSpV4u7du0DOMs6RI0cW+RVExkRsAvA8rVbLnOUb2BBrT4Ym/6VMjvfEZGcv/FvlypWZM2cOn332GX/++afccWS3YMEC6tatS5UqVYiLi6N9+/YAWFlZFbjgAjg5OeX+umTJkvTo0aPQWYW8K0w7znRNNgGhN3WcSF5KpZK7JWuTmV2we0c53pMiU3QBJk+eTO3atWnXrp3cUWTz9OlTmjVrxieffMK8efM4ffo0NjY2Oju/i4sLSqWSsmXLYm9vL/a9MqDE1AyOXk8o0P6CAJIERyITeJiakfuzixcvMnr0aJ4+faqjlPoRHx/Ppk2byMp6vteHPt4TfStSRRdyNsC7d+8eEyZMkDuKwR0+fJhy5cpx69YtLl++zKRJk3R+jZkzZ3Lx4kXOnTvHjRs3WL58uc6vIbzctrCYQp9DAWw7F8P58+fx9vamefPmBAYG8uDBg8IH1KPjx48zcOBAnJ2d+eGHH3KLry7fE0MpMmO6/7Rq1So+/PBDzp07h4eHh9xxDGLUqFEsX76cHj16sG3bNoPsyDthwgQCAgJITEzU6d208HLjtp5n54X7hT5PRuQx4nZ89dzPypcvj0qlQqFQ5G4O8LJfv+5nr/v5q/73z+OVSuUrj0tMTOT69etkZ2fntnht3749Nh39+SOh0G8JPT2cWdzXMLWiSO61MmzYMNasWYOPjw+xsbFFekvw+/fv06pVK2JiYti8ebNB951auHAhGzdu5N1332X//v0Gu25xpat2nC5VapJuZ8eTJ0/IyspCpVLRtWtXbGxskCQJSZLQarVotdrc/372s3/+/+t+nZ/H/v2/lz32711iJEnKmXOemQ2YFfo9MWSL0iJZdAH27t1LuXLlGDJkCOvWrZM7jl6sW7eO4cOHU7VqVe7evWvwOcpKpZLt27fTunVrDh06lPtlnaAfumrH2fKtRpxZ+IgdO3YwceJEbt26xYwZM3BxMd7mRT/99BP9+/fH3t6eL774gmHDhmFpacm4ree5poO7f0O2KC2yt4A2NjZFtveuRqOhc+fODBkyBH9/fyIiImRbFNKyZUs6depU5DpBGSNdtuN81qXvxo0b/P777zg7O+sopX60atWKtWvXcu/ePUaNGpW7MMcUW5QWyTHdf+ratSvHjh0jISEBCwsLueMUWnh4OG3btiUrK4u9e/fSokULuSORnp5O6dKlGTp0KAEBAXLHKbLEZqIvMsX3pMje6T5TlHrvzpw5k4YNG1K3bl3i4+ONouACqNVqAgICCAwMJCoqSu44RYokSfz1119cuHCBT/87luyYS6Id5z/Y21jSpqYDBd0YXI73pMgXXQsLC3bt2kVISAg7duyQO06BJCcn06hRI2bOnMnixYs5evQoarVa7ljPGTp0KHXr1qVTp05yRykS7t+/T82aNbGysqJ8+fJ4enoSGBjIiJaVUZsX7IujotqOc7RXddQq03lPinzRhZw+pIMGDTLJ3rt79+7F0dGR2NhYIiMj+fjjj+WO9ErBwcFERUXx3XffyR3F5Dk4OACQkZGROyfV39+fScP6Mq2TO1bm+furm9NnwL1ILQF+pkFFO5N6T4r8mO4zWq0WJycnatSoYRK9d7VaLcOHD2fNmjX069ePDRs2mMTUt8mTJ7NkyRISEhKwtbWVO47Jun79Ol5eXsTGxgJQunRp7ty5kzsf2lQ6ahmSqbwnxaboQs6XUA0bNjT63ru3b9+mVatWxMfHs3XrVrp37y53pDzTarU4OztTq1YtDh8+LHcckzRp0iS+/vprPDw8aN26NUuWLGHt2rUvbL+el3acbd0cGOVVvUje4b6MKbwnxarogvH33n3WHb9WrVqEhoZSpkwZuSPl2+nTp3n77bfZu3cvPj4+cscxGdeuXcPHx4e4uDi+/fZbRo4cSWZmJj/++CMjRox45SedN7XjLI6M+j2RiqEqVapI9erVkzvGczIyMqQOHTpICoVCmjJlitxxCq1Hjx6SnZ2dlJ2dLXcUkzBhwgRJqVRKjRs3lh4+fCh3HEGPimXRjY6OlszMzKS5c+fKHUWSJEk6c+aMZGdnJ9nZ2UlnzpyRO45OpKenS9bW1tLw4cPljmLULl++LLm4uEgWFhZSYGCg3HEEAyiWRVeSJGnevHmSmZmZdOvWLVlzTJkyRVIqlVKHDh2kjIwMWbPo2oYNGySlUilFRETIHcXoZGdnSx9//LGkVCqlt956S9zdFiPFbkz3n+rXr09KSoosTc8fPXpEmzZtiIiIYOnSpYwYMcLgGQzB09OT5ORkbt4sWs2zC+PSpUv83//9H4mJiQQEBDBs2DC5IwkGZPxzkPRIrt67O3bsoEKFCjx+/JioqKgiW3ABQkJCiI6OZtGiRXJHkZ1Wq8Xf358GDRpQuXJlHjx4IApucST3rbbcVq5cKSkUCun8+fN6v1Z2drbUv39/SaFQSEOHDi02XzJNmzZNMjc3l/766y+5o8jm/PnzkqOjo2RpaSmtWbNG7jiCjIp90ZUkSWrZsqVUrlw5KSQkRGrYsKGUlJSk82vcvHlTcnJykqysrKSQkBCdn9/YVahQQWrdurXcMQwuOztb8vPzkxQKhdSiRQvp8ePHckcSZCaKriRJcXFxkpmZmWRmZiap1Wrp9OnTOj3/kiVLJDMzM8nT07PY/qX7448/JIVCIe3evVvuKAYTFhYmlS9fXlKr1dKGDRvkjiMYiWI9pgvw119/0ahRI5RKJdnZ2SgUikJ96ZOR8b8N7tLT02ndujUTJkxgxowZhIWFFdulsY0bN+bdd9/F19cXjUY3OyAYK61Wy4cffkjjxo1xc3MjISEBX19fuWMJRqLYF92SJUvSs2dPzMzMUCgUpKWlce3atQKdKyMjg6pVq7J48WJOnDhBuXLluHr1KufPn+ezzz7TcXLTs3HjRrKzs416CXZh/fHHHzg6OrJhwwY2bdrE0aNHxf5xwnOK9ZSxf/rzzz8ZM2YMwcHBuV29IKdJ8rawGCLikklO12CrVuHuaEufRi8uJ1yyZAlTpkwhKysLrVZLp06d2LlzJypVkd0VKd+2bt1K//79uXTpEnXq1JE7js78s0GRl5cXu3fvpkSJEnLHEoyQKLr/smrVKsaMGcPPh88QdCOdo9dzthrNeEnjDC83B0a1qU6Dijmb/Dk5OZGSkgJAmTJluHPnjviL9xJNmjQhMTFRlvnR+vD777/TuXNnnj59ytq1a+nTp4/ckQQjVuyHF/5t2LBhfLIymP8E3+XAtQdkaLQvbAWS/vfPfr36gH4/nGbD6Wg++OCD3IJrZWVFUlISgYGBcrwEoxccHMzdu3f58ssv5Y5SKFqtlsGDB9O8eXM8PDxITEwUBVd4I3Gn+y85PTmvkZaV9z2XzBUS8fuXYXUvjPfeew8PDw/q1KmDh4dH7gZ6wvO++OILZs+ezYMHD0yyk9qpU6fo0qUL6enprF+/vkhsByUYhii6/3DxbhL9fjhNWlZ2vp9rqVLws9/bxaZvqS5UrFiRSpUqcfLkSbmj5JlWq2XgwIFs3rwZb29vdu7caXRbJwnGTQwv/MPS0Juka/JfcAEysyUCQkV/gfzYvXs3p06dIigoSO4oeXLixAns7e0JCgpi586d7Nu3TxRcId9E0f1bYmoGR68nvHabj9eRJDgSmcDD1Iw3HywA4OHhQd++fRk4cKBRz93VaDT079+f1q1b06xZMxITE+nWrZvcsQQTJYru37aFxRT6HApg27nCn6c4Wb9+PZIkMWTIELmjvFRoaCgODg7s2bOH3bt3ExISIu5uhUIRRfdvEXHJL8xSyK90jZaI2BQdJSoeVCoVa9asYdOmTYSHh8sdJ5dGo6FPnz60a9eOli1b8vDhQzp37ix3LKEIEEX3b8npuvl4m5yepZPzFCfvvvsuTZs2pWvXrnJHAXJaftrb27N//36Cg4PZvXs3FhYWcscSighRdP9mq9bNqjFbtblOzlPc7N69m/v37zN79mzZMmg0Gnr16kWHDh3w8vIiMTGRd955R7Y8QtEkiu7f3B1tsVQV7u1Qq5S4O5XUUaLixd7ens8//5wvvviCxMREg1//wIEDlC1blkOHDrF//3527twp7m4FvRBF92+9G7kU+hwS0Nuz8OcprqZNm4azszNdunQx2DUzMzPp0aMHPj4+dOjQgYcPH9KxY0eDXV8ofkTR/Zu9jSVtajqgUBTs+QoFtHVzeKEJjpA/e/bs4cyZMwQGBtK1a1dWr16tt2vt3bsXe3t7QkNDOXDgANu3bxfNiQS9E0X3H0Z7VUetMivQc9UqM0Z5VddxouKnVq1aNGrUiJEjRxIcHMyxY8d0fo3MzEy6du1K586d8fHxITExkfbt2+v8OoLwMqLo/kODinZM6+SOlXn+3hYrcyXTOrmLJcA60K1bNy5evAiAJEncvn1bp+cPDg6mbNmynDhxgsOHD/Pzzz+Lu1vBoETR/ZcBzVyZ1qkWVuZmbx5qkLQotRqmvlOLAc1cDRGvyPvkk09wcnLKbRRUmPaP169fJzIyEsjZxaNTp0507dqVLl26kJCQgJeXly4iC0K+iIY3rxAek0RA6E2ORCagIGfhwzPP+ulWs07n0LeTqFxSwZYtW/D09JQtb1GSmZnJ/PnzmTFjBgqFguzsnH4Y+Wkor9FocHNzIy0tjSVLlvDBBx9gYWHBrl27aNmypRwvSxAAUXTf6GFqBtvOxRARm0Jyeha2anPcnUrS29MFc20GdnZ2SJKEWq2mc+fOfPPNNzg7O8sdu0gIDw+nRYsWLPzxZ8LS7fPcUB4gICCAiRMnkp6ejlarxdfXl3Xr1qFUig93grxE0S0kGxsbnjx5AoBSqWTatGnMnDlT5lRFx/ztv/Hj+SQytdJrmxEpFDlfZk7r5E4XdzsqVKhAWloaAJaWlhw6dIgWLVoYKLUgvJr4Z7+QKleunPvrIUOG8MUXX8iYpmjZcDqaNRcfk5H9+oILOV3e0rKymR1yDc++Y0lLS8Pc3By1Wo1Go2Hnzp2GCS0IbyDudAtp0KBBXL16FTc3N7Zv305cXBx2dmIWQ2EVpqE8mky6lYiib8fmuLq64ujoiJlZwaYCCoKuiaJbSFqtFoVCgSRJVKpUiQoVKnDmzBm5Y5m8EevPcuDagwL1N1YowKd2eZYPaKz7YIJQSGJ4oZCUSiUKhQKlUsmBAwcICwvj+++/lzuWSRMN5YWiTBRdHapVqxaffPIJ48ePJzY2Vu44Jks0lBeKMlF0dWzOnDlUqVJFLCstBNFQXijKRNHVg8OHD3P9+nUxdayAREN5oSgTRVcPXFxc+Oqrr/jiiy+IioqSO47JEQ3lhaJMFF09mTBhAvXr16ddu3ZyRzE5oqG8UJSJoqtHhw4dIi4ujnHjxskdxaSIhvJCUSaKrh6VKVOG5cuX8+2333LhwgW545gMa2U29ezz0OXtFURDecGYicURBtC6dWsiIiKIi4sTDVf+JTU1ldDQUO7cuUNUVBT79u3jxo0bvDdyImF2rQq0Is3K3IytI5qJ/saCURJF1wBSU1MpV64cffr0Ye3atXLHMSpbt26lX79+WFpakpGRs5ihXr16hIeHs+F0NHNCrpGWlffpYzkN5UV/Y8F4iaJrIEFBQfTs2ZPQ0FBat24tdxyjodVqqVixIvfv3wfA2tqa6OhoHBwcAP4uvBGka7Lz3GVMFFzBmImia0BdunThxIkTJCYmii1igJiYGLy9vYmMjESpVKJSqZg5cyYTJ0587ri8NJRv6+bAKK/qYkhBMHqi6BpQZmYmDg4OeHl5ERQUJHccWc2dO5fp06dTrVo1Dhw4wE8//URAQAARERFYWFi89DmvaygvvjQTTIUougYWGhpKu3bt2LlzJ926dZM7jsHdvn0bb29voqKimDVrFlOmTMl9LDMz85UFVxCKCvFVuoF5eXnx/vvv069fP54+fSp3HIP6/PPPqVatGiqViujo6OcKLiAKrlAsiDtdGWi1WhwdHalduzahoaFyx9G7qKgovL29uXPnDl9++SX/+c9/5I4kCLIRd7oyUCqV7Nu3j2PHjhX5KWRTp06lZs2a2NjYcPfuXVFwhWJP3OnK6OOPPyYwMJDY2FjKlCkjdxydioyMxMfHh/v37/P1118zZswYuSMJglEQRVdmlSpVwsHBgbCwMLmj6Mx//vMflixZgoeHB/v378fe3l7uSIJgNMTwgswOHTrEhQsXWLJkidxRCu3KlSu4uLjw/fffExAQQFhYmCi4gvAvoujKrEaNGkyfPp3//ve/xMSY5vYyWq2WMWPGUL9+fZydnYmNjcXPz0/uWIJglMTwgpFwd3dHkiQiIyPljpIv4eHh/N///R+PHj1i2bJlDB06VO5IgmDUxJ2ukTh8+DC3bt3is88+kztKnmi1WkaOHImHhwdVqlQhPj5eFFxByANxp2tEvvvuO8aNG8fVq1dxc3OTO84rnT17ls6dO5OcnMzKlSvx9fWVO5IgmAxRdI1M48aNiYuL486dO0bXe1er1TJs2DDWrl1LmzZt2L17NzY2NnLHEgSTYlx/qwUOHjxIYmKi0c1rPXXqFOXKlWPr1q1s3bqVI0eOiIIrCAUgiq6RsbOzY+XKlSxbtoyzZ8/KHQetVouvry8tWrSgYcOGJCYm0qdPH7ljCYLJEsMLRqpt27ZcunSJ+Ph42YYZjh8/Tvfu3cnMzGTjxo10795dlhyCUJSIO10jFRwcTFpaGgMGDDD4tTUaDe+99x5t2rShWbNmJCYmioIrCDoiiq6Rsra2ZuvWrWzZsoVDhw4BYIgPJYcOHcLe3p69e/eyZ88eQkJCUKvVer+uIBQXougasS5dutCtWzd69OjB7NmzsbW15fHjx3q5VmZmJj179qRjx460adOGhw8f0qlTJ71cSxCKMzGma+QiIyOpXbs2AGq1mqNHj9K4cWOdXmPv3r307dsXhULBtm3b6Nixo07PLwjC/4g7XSMWExNDgwYNkCQJrVaLJElERUXp7PyZmZl06dKFzp074+Pjw8OHD0XBFQQ9E0XXiFWoUIFFixZha2uLmZkZaWlpXLlypcDn27x5M1OnTgVg165dlClThpMnT3L48GF+/vlnsUOxIBiAGF4wASkpKcyaNYsFCxZQvnx54uLiAEhMzWBbWAwRcckkp2uwVatwd7SlT6MXd8dNSkqicuXKpKenU79+fcLCwujXrx/r1q0TxVYQDEgUXRNy9OhRevTowfqQY+y6mcHR6wkAZGi0uceoVUokwMvNgVFtqtOgoh0Ao0ePZsWKFWg0GhQKBQcOHKB9+/ZyvAxBKNZE0TUx34ScY9npB2RotLzud06hALXKjGmd3Klt8YjGjRvnTjlTKpX4+/vzzTffGCi1IAjPiM+VJmTD6WiWn35Aepb2jcdKEqRlZTNrz1USD65AkiTs7e2pVq0a1atXp1WrVgZILAjCv4k7XRNx8W4S/X44TVpWdr6fa66Q+HlkCzwqldZDMkEQ8kPMXjARS0Nvkq7Jf8EF0KBg+THdTTUTBKHgRNE1AYmpOV+aFfQziSTBkcgEHqZm6DaYIAj5JoquCdgWVvgNKxXAtnOmufGlIBQlouiagIi45OemhRVEukZLRGyKjhIJglBQouiagOR0jY7Ok6WT8wiCUHCi6JoAW7VuZvbZqs11ch5BEApOFF0T4O5oi6WqcL9VapUSd6eSOkokCEJBiaJrAno3cin0OSSgt2fhzyMIQuGIomsC7G0saVPTAYWiYM9XKKCtm8MLTXAEQTA8UXRNxGiv6qhVZgV6rlplxiiv6jpOJAhCQYiiayIaVLRjWid3rMzz91tmZa5kWid36rvY6SmZIAj5IRremJABzVwBmBMSQbomO89dxp49TxAE+YmGNyYoPCaJgNCbHIlMQEHOwodnnvXTbevmwCiv6uIOVxCMjCi6JuxhagbbzsUQEZtCcnoWtmpz3J1K0tvzxZ0jBEEwDqLoCoIgGJD4Ik0QBMGARNEVBEEwIFF0BUEQDEgUXUEQBAMSRVcQBMGARNEVBEEwIFF0BUEQDEgUXUEQBAMSRVcQBMGARNEVBEEwIFF0BUEQDEgUXUEQBAMSRVcQBMGARNEVBEEwIFF0BUEQDOj/AZzhbnmQn6rVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dataset = MiniGCDataset(8, 10, 20)\n",
    "\n",
    "for i in range(1,8):\n",
    "    graph, label = dataset[i]  \n",
    "    fig, ax = plt.subplots()\n",
    "    nx.draw(graph.to_networkx(), ax=ax)    \n",
    "    ax.set_title('Class: {:d}'.format(label))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "german-squad",
   "metadata": {},
   "source": [
    "# 定义图分类模型\n",
    " 其中网络定义为两层卷积层，一层分类器\n",
    " 输入输出的节点要匹配"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "acceptable-creation",
   "metadata": {},
   "outputs": [],
   "source": [
    "class Classifier(nn.Module):\n",
    "    def __init__(self, in_dim, hidden_dim, n_classes):\n",
    "        super(Classifier, self).__init__()\n",
    "        self.conv1 = GraphConv(in_dim, hidden_dim) \n",
    "        self.conv2 = GraphConv(hidden_dim, hidden_dim) \n",
    "        self.classify = nn.Linear(hidden_dim, n_classes)\n",
    "\n",
    "    def forward(self, g):\n",
    "        # 节点的度作为初始节点特征。对于无向图，入度 = 出度\n",
    "        h = g.in_degrees().view(-1, 1).float() # [N, 1]\n",
    "        # 执行图卷积和激活函数\n",
    "        h = F.relu(self.conv1(g, h))  \n",
    "        h = F.relu(self.conv2(g, h))  \n",
    "        g.ndata['h'] = h    # 将特征赋予到图的节点\n",
    "        # 通过平均池化每个节点的表示得到图表示\n",
    "        hg = dgl.mean_nodes(g, 'h')   \n",
    "        return self.classify(hg)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "industrial-hungarian",
   "metadata": {},
   "outputs": [],
   "source": [
    "def collate(samples):\n",
    "    # 输入参数samples是一个列表,将输入参数类型转换\n",
    "    graphs, labels = map(list, zip(*samples))\n",
    "    return dgl.batch(graphs), torch.tensor(labels, dtype=torch.long)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "processed-madness",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Graph(num_nodes=138245, num_edges=822831,\n",
      "      ndata_schemes={}\n",
      "      edata_schemes={})\n",
      "tensor([0, 0, 0,  ..., 7, 7, 7])\n",
      "torch.Size([10000])\n",
      "Graph(num_nodes=276210, num_edges=1643914,\n",
      "      ndata_schemes={}\n",
      "      edata_schemes={})\n",
      "tensor([0, 0, 0,  ..., 7, 7, 7])\n",
      "torch.Size([20000])\n"
     ]
    }
   ],
   "source": [
    "# 创造训练集和测试集\n",
    "trainset = MiniGCDataset(20000, 10, 20) \n",
    "testset = MiniGCDataset(10000, 10, 20) \n",
    "#将测试集的大小输出出来\n",
    "graph, label = collate(testset)\n",
    "print(graph)\n",
    "print(label)\n",
    "print(label.shape)\n",
    "#将训练集的大小输出出来\n",
    "graph, label = collate(trainset)\n",
    "print(graph)\n",
    "print(label)\n",
    "print(label.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "secret-feature",
   "metadata": {},
   "source": [
    "# 模型训练的主体部分"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "available-wednesday",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 0, loss 1.9575\n",
      "Epoch 1, loss 1.8310\n",
      "Epoch 2, loss 1.4987\n",
      "Epoch 3, loss 1.1562\n",
      "Epoch 4, loss 0.9535\n",
      "Epoch 5, loss 0.8498\n",
      "Epoch 6, loss 0.7860\n",
      "Epoch 7, loss 0.7319\n",
      "Epoch 8, loss 0.7004\n",
      "Epoch 9, loss 0.6739\n",
      "Epoch 10, loss 0.6480\n",
      "Epoch 11, loss 0.6243\n",
      "Epoch 12, loss 0.6036\n",
      "Epoch 13, loss 0.5807\n",
      "Epoch 14, loss 0.5675\n",
      "Epoch 15, loss 0.5433\n",
      "Epoch 16, loss 0.5359\n",
      "Epoch 17, loss 0.5093\n",
      "Epoch 18, loss 0.4968\n",
      "Epoch 19, loss 0.4833\n",
      "Epoch 20, loss 0.4608\n",
      "Epoch 21, loss 0.4488\n",
      "Epoch 22, loss 0.4305\n",
      "Epoch 23, loss 0.4159\n",
      "Epoch 24, loss 0.4005\n",
      "Epoch 25, loss 0.3957\n",
      "Epoch 26, loss 0.3790\n",
      "Epoch 27, loss 0.3671\n",
      "Epoch 28, loss 0.3522\n",
      "Epoch 29, loss 0.3510\n",
      "Epoch 30, loss 0.3378\n",
      "Epoch 31, loss 0.3273\n",
      "Epoch 32, loss 0.3216\n",
      "Epoch 33, loss 0.3262\n",
      "Epoch 34, loss 0.3018\n",
      "Epoch 35, loss 0.3004\n",
      "Epoch 36, loss 0.2980\n",
      "Epoch 37, loss 0.2857\n",
      "Epoch 38, loss 0.2796\n",
      "Epoch 39, loss 0.2775\n",
      "Epoch 40, loss 0.2754\n",
      "Epoch 41, loss 0.2643\n",
      "Epoch 42, loss 0.2575\n",
      "Epoch 43, loss 0.2612\n",
      "Epoch 44, loss 0.2541\n",
      "Epoch 45, loss 0.2528\n",
      "Epoch 46, loss 0.2490\n",
      "Epoch 47, loss 0.2438\n",
      "Epoch 48, loss 0.2384\n",
      "Epoch 49, loss 0.2408\n",
      "Epoch 50, loss 0.2371\n",
      "Epoch 51, loss 0.2367\n",
      "Epoch 52, loss 0.2347\n",
      "Epoch 53, loss 0.2334\n",
      "Epoch 54, loss 0.2278\n",
      "Epoch 55, loss 0.2322\n",
      "Epoch 56, loss 0.2292\n",
      "Epoch 57, loss 0.2270\n",
      "Epoch 58, loss 0.2285\n",
      "Epoch 59, loss 0.2182\n",
      "Epoch 60, loss 0.2172\n",
      "Epoch 61, loss 0.2240\n",
      "Epoch 62, loss 0.2146\n",
      "Epoch 63, loss 0.2163\n",
      "Epoch 64, loss 0.2111\n",
      "Epoch 65, loss 0.2174\n",
      "Epoch 66, loss 0.2154\n",
      "Epoch 67, loss 0.2131\n",
      "Epoch 68, loss 0.2109\n",
      "Epoch 69, loss 0.2061\n",
      "Epoch 70, loss 0.2043\n",
      "Epoch 71, loss 0.2089\n",
      "Epoch 72, loss 0.2093\n",
      "Epoch 73, loss 0.2103\n",
      "Epoch 74, loss 0.2018\n",
      "Epoch 75, loss 0.2015\n",
      "Epoch 76, loss 0.2027\n",
      "Epoch 77, loss 0.1984\n",
      "Epoch 78, loss 0.2084\n",
      "Epoch 79, loss 0.1981\n",
      "Epoch 80, loss 0.2046\n",
      "Epoch 81, loss 0.1942\n",
      "Epoch 82, loss 0.2053\n",
      "Epoch 83, loss 0.1964\n",
      "Epoch 84, loss 0.1949\n",
      "Epoch 85, loss 0.1953\n",
      "Epoch 86, loss 0.1981\n",
      "Epoch 87, loss 0.2002\n",
      "Epoch 88, loss 0.1954\n",
      "Epoch 89, loss 0.1929\n",
      "Epoch 90, loss 0.1912\n",
      "Epoch 91, loss 0.1880\n",
      "Epoch 92, loss 0.1915\n",
      "Epoch 93, loss 0.1900\n",
      "Epoch 94, loss 0.1878\n",
      "Epoch 95, loss 0.1893\n",
      "Epoch 96, loss 0.1876\n",
      "Epoch 97, loss 0.1837\n",
      "Epoch 98, loss 0.1856\n",
      "Epoch 99, loss 0.1904\n",
      "Epoch 100, loss 0.1817\n",
      "Epoch 101, loss 0.1855\n",
      "Epoch 102, loss 0.1888\n",
      "Epoch 103, loss 0.1859\n",
      "Epoch 104, loss 0.1883\n",
      "Epoch 105, loss 0.1806\n",
      "Epoch 106, loss 0.1827\n",
      "Epoch 107, loss 0.1794\n",
      "Epoch 108, loss 0.1793\n",
      "Epoch 109, loss 0.1807\n",
      "Epoch 110, loss 0.1833\n",
      "Epoch 111, loss 0.1785\n",
      "Epoch 112, loss 0.1816\n",
      "Epoch 113, loss 0.1798\n",
      "Epoch 114, loss 0.1777\n",
      "Epoch 115, loss 0.1769\n",
      "Epoch 116, loss 0.1856\n",
      "Epoch 117, loss 0.1773\n",
      "Epoch 118, loss 0.1777\n",
      "Epoch 119, loss 0.1786\n",
      "Epoch 120, loss 0.1770\n",
      "Epoch 121, loss 0.1774\n",
      "Epoch 122, loss 0.1737\n",
      "Epoch 123, loss 0.1754\n",
      "Epoch 124, loss 0.1710\n",
      "Epoch 125, loss 0.1728\n",
      "Epoch 126, loss 0.1744\n",
      "Epoch 127, loss 0.1721\n",
      "Epoch 128, loss 0.1757\n",
      "Epoch 129, loss 0.1727\n",
      "Epoch 130, loss 0.1719\n",
      "Epoch 131, loss 0.1758\n",
      "Epoch 132, loss 0.1757\n",
      "Epoch 133, loss 0.1732\n",
      "Epoch 134, loss 0.1740\n",
      "Epoch 135, loss 0.1731\n",
      "Epoch 136, loss 0.1703\n",
      "Epoch 137, loss 0.1685\n",
      "Epoch 138, loss 0.1684\n",
      "Epoch 139, loss 0.1727\n",
      "Epoch 140, loss 0.1692\n",
      "Epoch 141, loss 0.1656\n",
      "Epoch 142, loss 0.1708\n",
      "Epoch 143, loss 0.1692\n",
      "Epoch 144, loss 0.1701\n",
      "Epoch 145, loss 0.1686\n",
      "Epoch 146, loss 0.1657\n",
      "Epoch 147, loss 0.1686\n",
      "Epoch 148, loss 0.1662\n",
      "Epoch 149, loss 0.1648\n",
      "Wall time: 7min 21s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")    \n",
    "#pytorch自带的导入数据函数\n",
    "data_loader = DataLoader(trainset, batch_size=512, shuffle=True,\n",
    "                         collate_fn=collate)\n",
    "\n",
    "# 构造模型 \n",
    "model = Classifier(1, 256, trainset.num_classes)\n",
    "# 定义分类交叉熵损失\n",
    "loss_func = nn.CrossEntropyLoss()\n",
    "# 定义Adam优化器\n",
    "optimizer = optim.Adam(model.parameters(), lr=0.001)\n",
    "\n",
    "\n",
    "# 模型训练\n",
    "model.train()\n",
    "epoch_losses = []\n",
    "for epoch in range(150): \n",
    "    epoch_loss = 0\n",
    "    for iter, (batchg, label) in enumerate(data_loader):\n",
    "        prediction = model(batchg)\n",
    "        loss = loss_func(prediction, label)\n",
    "        optimizer.zero_grad()\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "        epoch_loss += loss.detach().item()\n",
    "    epoch_loss /= (iter + 1)\n",
    "    print('Epoch {}, loss {:.4f}'.format(epoch, epoch_loss))\n",
    "    epoch_losses.append(epoch_loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "complicated-petite",
   "metadata": {},
   "source": [
    "# 测试模型部分"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "thousand-boutique",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "accuracy:  0.9242\n",
      "Wall time: 1.7 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "test_loader = DataLoader(testset, batch_size=64, shuffle=False,\n",
    "                         collate_fn=collate)\n",
    "#模型测试\n",
    "model.eval()\n",
    "test_pred, test_label = [], []\n",
    "with torch.no_grad():\n",
    "    for it, (batchg, label) in enumerate(data_loader):\n",
    "        pred = torch.softmax(model(batchg), 1)\n",
    "        pred = torch.max(pred, 1)[1].view(-1)\n",
    "        test_pred += pred.detach().cpu().numpy().tolist()\n",
    "        test_label += label.cpu().numpy().tolist()\n",
    "print(\"accuracy: \", accuracy_score(test_label, test_pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "italic-feeling",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('cross entropy ')\n",
    "plt.plot(epoch_losses)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "educational-rebate",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:root] *",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
